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The method of two-point quasiclassical Green's function is reviewed and its applicability for description of multiple reflections/transmissions in layered structures is discussed. The Green's function of a sandwich built of superconducting…

Superconductivity · Physics 2007-05-23 M. Ozana , A. Shelankov

The purpose of the paper is to suggest a new method which allows one to study multiple coherent reflection/transmissions by partially transparent interfaces (e.g. in multi-layer mesoscopic structures or grain boundaries in high-Tc's) in the…

Superconductivity · Physics 2009-09-25 A. Shelankov , M. Ozana

A short introduction to the theory of matrix quasiclassical Green's functions is given and possible applications of this theory to transport properties of mesoscopic superconducting-normal metal (S/N) structures are considered. We discuss a…

Superconductivity · Physics 2009-10-30 A. F. Volkov , V. V. Pavlovskii

A new method which allows one to study multiple coherent reflection/transmissions by partially transparent interfaces, (e.g., in multi-layer mesoscopic structures or grain boundaries in high-Tc's), in the framework of the quasiclassical…

Superconductivity · Physics 2009-10-31 A. Shelankov , M. Ozana

We present a semiclassical theory of current correlations in multiterminal chaotic dot-superconductor junctions, valid in the absence of the proximity effect in the dot. For a dominating coupling of the dot to the normal terminals and a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Samuelsson , M. Buttiker

The stationary Josephson effect in a system of ballistic graphene is studied in the framework of quasiclassical Green's function theory. Reflecting the ultimate two-dimensionality of graphene, a Josephson junction involving a graphene sheet…

Mesoscale and Nanoscale Physics · Physics 2012-08-24 Yositake Takane , Ken-Ichiro Imura

We discuss the quasiclassical Green function method for a two-dimensional electron gas in the presence of spin-orbit coupling, with emphasis on the meaning of the $\xi$-integration procedure. As an application of our approach, we…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Cosimo Gorini , Peter Schwab , Michael Dzierzawa , Roberto Raimondi

Recent experiments on mesoscopic normal-metal--superconductor heterostructures resolve properties on length scales and at low temperatures such that the temperature is below the Thouless energy $k_B T \le E_{Th}$. We describe the properties…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Wolfgang Belzig , Frank K. Wilhelm , Christoph Bruder , Gerd Schön , Andrei D. Zaikin

We consider the corrections to the Boltzmann theory of electrical transport arising from the Coulomb interaction in disordered conductors. In this article the theory is formulated in terms of quasiclassical Green's functions. We demonstrate…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. Schwab , R. Raimondi

Green's functions are highly useful in analyzing the dynamical behavior of polynomials in their escaping set. The aim of this paper is to construct an analogue of Green's functions for planar quasiregular mappings of degree two and constant…

Dynamical Systems · Mathematics 2024-08-22 Mark Broderius , Alastair Fletcher

The quasiclassical theory of superconductivity provides a methodology to study emergent phenomena in hybrid structures comprised of superconductors interfaced with other materials. A key component in this theory is the boundary condition…

Superconductivity · Physics 2022-11-09 Jacob Linder , Morten Amundsen

We discuss the general transport properties of superconducting quantum point contacts. We show how these properties can be obtained from a microscopic model using nonequilibrium Green function techniques. For the case of a one-channel…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Martin-Rodero , A. Levy Yeyati , J. C. Cuevas

The method of the quasiclassical Green's function is used to determine the equilibrium properties of one-dimensional (1D) interacting Fermi systems, in particular, the bulk and the local (near a hard wall) density of states. While this is a…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 U. Eckern , P. Schwab

Boundary conditions in quasiclassical theory of superconductivity are of crucial importance for describing proximity effects in heterostructures between different materials. Although they have been derived for the ballistic case in full…

Superconductivity · Physics 2015-09-09 M. Eschrig , A. Cottet , W. Belzig , J. Linder

A recently developed method [A. Shelankov and M. Ozana, Phys. Rev. B 61, 7077 (2000)] is applied to investigate d-wave superconductors in the vicinity of (rough) surfaces. While this method allows the incorporation of arbitrary interfaces…

Superconductivity · Physics 2007-05-23 T. Lueck , U. Eckern , A. Shelankov

The problem of an ultrarelativistic charge in the presence of an atomic and a plane-wave field is investigated in the quasiclassical regime by including exactly the effects of both background fields. Starting from the quasiclassical Green's…

High Energy Physics - Phenomenology · Physics 2014-06-19 A. Di Piazza , A. I. Milstein

We propose the sparse modeling approach for quasiclassical theory of superconductivity, which reduces the computational cost of solving the gap equations. The recently proposed sparse modeling approach is based on the fact that the Green's…

Superconductivity · Physics 2023-03-01 Yuki Nagai , Hiroshi Shinaoka

We consider a general problem of a Josephson contact between two multiband superconductors with coexisting superconducting and magnetic phases. As a particular example, we use the quasiclassical theory of superconductivity to study the…

Strongly Correlated Electrons · Physics 2020-01-01 Ammar A. Kirmani , Maxim Dzero , Alex Levchenko

Quasiclassical Green's functions of a short superconductor/normal metal/superconductor (SNS) junction are calculated for multi-mode junction with arbitrary electron transmission properties. They provide the basis for description of all of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. V. Averin

The quasiclassical theory in terms of equations for the Green's functions (Eilenberger equations) is generalized in order to allow for quantitative description of the magneto-electric effects and proximity-induced triplet correlations in…

Superconductivity · Physics 2017-09-26 I. V. Bobkova , A. M. Bobkov
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